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Finding the Fourth Proportional to 163.63, 223.81 and 161.20

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Solution

The fourth proportional to 163.63, 223.81 and 161.20 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.63 : 223.81 = 161.20 : x
  2. Step 2: Convert to fraction form
    163.63/223.81 = 161.20/x
  3. Step 3: Cross multiply
    163.63x = 223.81 × 161.20
  4. Step 4: Simplify right side
    163.63x = 36,078.05
  5. Step 5: Solve for x
    x = 36,078.05/163.63
  6. Step 6: Final answer
    x = 220.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.